Finding the Equation of a Line in 3 dimensions (Example)

[@prodbybrown]

Thank you so much for the effort you put into your work. You’ve really helped me

[@hrsh.6556]

Legendary teacher and channel

[@daze-telltaleshtposts5488]

You are a legend, God bless you.

[@saaraandreas2303]

I really learned a lot about vectors

[@Sandaruwan10794]

thank you sir....thanks very much

[@Thisisaclevernameno]

With cross products you subtracted j part but added the k part. Why?

[@gsuryasharon7703]

Thisisaclevernameno He found out the determinant of the matrix.

[@kempossible02]

@@gsuryasharon7703 yes but no, as normal vectors or trying to prove something is perpendicular uses the same process as finding a determinant. A determinant produces a scalar value while cross product produces a vector value

[@emilyhughes4297]

why is J negative

[@marquez2390]

Emily Hughes Look at finding the determinant of a 3x3 matrix

[@marquez2390]

Take a look at finding the determinants of 3x3 matrices

[@kempossible02]

It is because of finding the cofactor of the minors of the matrix. Look further into that and it'll give clarity.

[@emilyhughes4297]

@@kempossible02 finally I can solve this maths problem

[@kempossible02]

@@emilyhughes4297 I was mostly writing it for people coming after and having the same question

[@21Screen]

Very bad that you didn't explain why you subtracted j, while added k !!